STAT. TECH. FOR BUSINESS AND ECO (LL)
STAT. TECH. FOR BUSINESS AND ECO (LL)
18th Edition
ISBN: 9781265679637
Author: Lind
Publisher: MCG
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Chapter 12, Problem 11E

a.

To determine

Obtain the null and the alternative hypotheses.

b.

To determine

Give the decision rule.

c.

To determine

Find the values of SST, SSE and SS total.

d.

To determine

Find an ANOVA table.

e.

To determine

Find the decision regarding the null hypothesis.

f.

To determine

Check whether there is significant difference between treatment 1 and treatment 2, if null hypothesis is rejected by using the 95% level of confidence.

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iid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²
2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).
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STAT. TECH. FOR BUSINESS AND ECO (LL)

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